Using the diagram below, identify whether the given pair of angles are vertical pair, linear pair, or neither.

[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \ln\left( r^2s^{10}\sqrt[4]{r^2s^{10}} \right)\qquad \qquad \stackrel{\textit{let's for a second make}}{z = r^2s^{10}} \\\\\\ \ln\left(z\cdot \sqrt[4]{z} \right)\implies \ln\left(z\cdot z^{\frac{1}{4}} \right)\implies \ln\left(z^{1+\frac{1}{4}} \right)\implies \ln\left(z^{\frac{5}{4}} \right)[/tex]

[tex]\stackrel{\textit{and substituting back}}{\ln\left( \left[ r^2s^{10} \right]^{\frac{5}{4}} \right)}\implies \ln\left( r^{2\cdot \frac{5}{4}} ~~ s^{10\cdot \frac{5}{4}} \right)\implies \ln\left( r^{\frac{5}{2}}~~s^{\frac{25}{2}} \right) \\\\\\ \ln\left( r^{\frac{5}{2}} \right)~~ + ~~\ln\left( s^{\frac{25}{2}} \right)\implies \stackrel{A}{\cfrac{5}{2}}\ln(r)~~ + ~~\stackrel{B}{\cfrac{25}{2}}\ln(s)[/tex]

Answer:

I really don't know i need the answer as well

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think B because he opened credit card and not yet deposit and then he spent $55.

Answer:

$37.50

Step-by-step explanation:

Answer:

2022

9 million

Step-by-step explanation:

[tex]p(x) =-x^2 + 4x + 5[/tex]

To find the value of x when the maximum profit occurs, differentiate the function:

[tex]\implies p'(x)=-2x+4[/tex]

set it to zero and solve for x:

[tex]\implies p'(x)=0[/tex]

[tex]\implies -2x+4=0[/tex]

[tex]\implies x=2[/tex]

Therefore, the year in which the company had its largest profit was

2020 + 2 = 2022

Input found value of x into the function:

[tex]p(2) =-(2)^2 + 4(2) + 5=9[/tex]

Therefore, the amount was 9 million

Answer:

they bought 23 adult tickets and 2 child tickets

Step-by-step explanation:

the explanation is in the screenshot below

please mark brainliest

Answer:

6 people

Step-by-step explanation:

2 1/4 = 9/4 = 18/8

She gave 3/8 of a bag to each of the people => she gave 18/8 : 3/8 = 6 people

So, there are 6 people that live on Janet's block (maybe 7 if count Janet herself)

Answer:

6

Step-by-step explanation:

2.25 divided by 3/8 (0.375)

To double check multiply 3/8 by 6 and you'll get 2.25 (2 1/4).

Answer:

soln,

=119+99

=218 answer

»Option (A.)

Let find

5b^{0}

= 1

hope its helps

Okay

Answer:

the top one

Step-by-step explanation:

it has the least number

Answer:

A

Step-by-step explanation: i got it right

Answer:

20 is A 3.7

21 is D 18.7

22 is C 8.8

23 is A 3.6

24 is D 11.6

25 is A 2.7

I hope this helps!!

Answer:

36.0

Step-by-step explanation:

45 / 10 = 4.5

8 * 4.5 = 36

Answer:

5.2812

Step-by-step explanation:

[tex]10^{x-3.6}-7=41[/tex]

Add 7 to both sides:

[tex]\implies 10^{x-3.6}=48[/tex]

Taking logs of base 10:

[tex]\implies \log_{10}10^{x-3.6}=\log_{10}48[/tex]

Apply log rule  [tex]\log a^b=b \log a[/tex]:

[tex]\implies (x-3.6)\log_{10}10=\log_{10}48[/tex]

Apply log rule [tex]\log_aa=1[/tex]:

[tex]\implies (x-3.6)\times 1 =\log_{10}48[/tex]

Simplify and solve:

[tex]\implies x-3.6=\log_{10}48[/tex]

[tex]\implies x=\log_{10}48+3.6[/tex]

[tex]\implies x = 5.281241237...[/tex]

[tex]10^{x-3.6}-7=41[/tex]

Use the rules of exponents and logarithms to solve the equation.

[tex]10^{x-3.6}-7=41[/tex]

Add 7 to both sides of the equation.

[tex]10^{x-3.6}=48[/tex]

Take the logarithm of both sides of the equation.

[tex]log(10^{x-3.6})=log(48)[/tex]

The logarithm of a number raised to a power is the power times the logarithm of the number.

[tex](x-3.6)log(10)=log(48)[/tex]

Add 3.6 to both sides of the equation.

[tex]x=log(48)-(-3.6)[/tex]

Solve by first finding [tex]log(48)[/tex] then subtract [tex](-3.6)[/tex] from the answer:

1. [tex]log(48)=1.6812412373755872181499834821531[/tex]

Now just solve the equation:

[tex]1.6812412373755872181499834821531 - (-3.6)=5.2812412373755872181499834821531[/tex]

Your answer is C. [tex]5.2812412373755872181499834821531[/tex] or [tex]5.2812[/tex]

to get the equation of any straight line we simply need two points off of it, from the table [tex]\begin{array}{|cccc|ll} \cline{1-4} x&\frac{1}{2}&0&2\\ \cline{1-4} y&4&0&16\\ \cline{1-4} \end{array}[/tex] let's use the points of (0 , 0) and (2 , 16)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}}\implies \cfrac{16}{2}\implies 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{8}(x-\stackrel{x_1}{0})\implies y=8x[/tex]

Answer:

Step-by-step explanation:

The monthly interest rate is the annual rate (APR) divided by 12.

  19%/12 ≈ 1.5833%

The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.

Answer:

Tom's speed (in mph) on Monday [tex]=4mph[/tex]

Tom's speed (in mph) on Tuesday [tex]=3mph[/tex]

Step-by-step explanation:

Using Speed distance time formula.

Tom's speed (in mph) on Monday

[tex]=Distance/time.[/tex]

[tex]=1/(15/60).[/tex] [By question statements, [tex]1hr=60min].[/tex]

[tex]=4mph[/tex]

Tom's speed (in mph) on Tuesday

[tex]=Distance/time.\\ =1/(20/60).[/tex][By question statements, [tex]1hr=60min].[/tex]

[tex]=3mph.[/tex]

Hence

Tom's speed (in mph) on Monday[tex]=4mph.[/tex]

Tom's speed (in mph) on Tuesday[tex]=3mph.[/tex]

I hope this helps you

:)

On Monday, The speed of Tom will be 4 mph.

On Tuesday, The speed of Tom will be 3 mph.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

On Monday Tom takes 15 minutes to walk one mile to school.

On Tuesday he takes 20 minutes to walk the same distance.

Now,

For Monday;

Tom takes 15 minutes to walk one mile to school.

Hence, Distance = 1 mile

Time = 15 minutes = 15/60 hour

Thus, Speed = Distance / Time

                    = 1 / (15/60)

                    = 60/15

                    = 4 mph

For Tuesday;

Tom takes 20 minutes to walk one mile to school.

Hence, Distance = 1 mile

Time = 20 minutes = 20/60 hour

Thus, Speed = Distance / Time

                    = 1 / (20/60)

                    = 60/20

                    = 3 mph

Thus, On Monday, The speed of Tom will be 4 mph.

On Tuesday, The speed of Tom will be 3 mph.

Learn more about the speed visit:

https://brainly.com/question/13943409

#SPJ2

Answer:

127 degrees

Step-by-step explanation:

Answer:

1.5 Liters

Step-by-step explanation:

500ml=0.5L

(0.5L)x3= 1.5L

Answer:

D) There is not enough info to tell (sike maybe not the asnwer)
B) b (bbbbbbbbbbb)

Step-by-step explanation:

SiiiKE, not D) I think but My first thought is D but I know it is not D unless it is another answer BUT I think it is B My final answer is B) b

Answer:

p/2 - L = W

Step-by-step explanation:

P = 2L + 2W

Subtract 2L from both sides

P - 2L = 2W

Divide both sides by 2

p/2 - L = W

Answer:

p/2 - L = W

Step-by-step explanation:

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8[/tex]

Answer:.

1.5 miles

Step-by-step explanation:

1 inch = 3 miles

0.5 inches = X miles

X=3(0.5) = 1.5

The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.

The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.

As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,

Tip = Total spent - Food bill

Tip = $40 - $34

Tip = $6

Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5[/tex]

Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,

[tex]\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5[/tex]

Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.

Learn more about Division:

https://brainly.com/question/369266

Answer:

Step-by-step explanation:

obiously

right angle triangle

because it has always 90°

Known information:

Let us set up some variables for our terms:

Let us set up some equations in terms of our known information

Let us set up everything in terms of L, because in the first equation, we will be able to get rid of all the other variables but L allowing us to solve the equation:

              (S + M) + L = 24 --->   L + L = 24

              2L = 24

              L = 12

Since L = 12, we know that S = L - 2:

              S = L - 2 = 12 - 2 = 10

Since now we know that L = 12, and S = 10, and L = S + M:

              L = S + M

              12 = 10 + M

               M = 2

So our answer is 2, 10, 12

Hope that helps!

y=1/2+4

y=2+4

y=6

or

y=1/2+4

y=1/6

y=6

Those homeworks are so easy lmaøoo

Answer:

To graph the equation of a line written in slope-intercept (y=mx+b) form, start by plotting the y-intercept, which is the b value. The y-intercept is where the line will cross the y-axis, so count up or down on the y-axis the number of units indicated by the b value. From the y-intercept point, use the slope to find a second point. The numerator of the slope tells you how many units to move up or down from the intercept, and the denominator of the slope tells you how many units to move left or right in order to plot the second point. Connect the two points and draw arrows at either end to indicate that the line extends infinitely.

Step-by-step explanation:

Since the equation is in y=mx+B form, M is the value of we can use B as the Y_Intercept and M as the slope.

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